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Finding the Fourth Proportional to 13,763.88, 18,994.14 and 7,476.26

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Solution

The fourth proportional to 13,763.88, 18,994.14 and 7,476.26 is: 10,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.88 : 18,994.14 = 7,476.26 : x
  2. Step 2: Convert to fraction form
    13,763.88/18,994.14 = 7,476.26/x
  3. Step 3: Cross multiply
    13,763.88x = 18,994.14 × 7,476.26
  4. Step 4: Simplify right side
    13,763.88x = 142,005,129.12
  5. Step 5: Solve for x
    x = 142,005,129.12/13,763.88
  6. Step 6: Final answer
    x = 10,317.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.